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Finding the Fourth Proportional to 65,972.40, 98,772.30 and 51,351.90

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Solution

The fourth proportional to 65,972.40, 98,772.30 and 51,351.90 is: 76,882.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,972.40 : 98,772.30 = 51,351.90 : x
  2. Step 2: Convert to fraction form
    65,972.40/98,772.30 = 51,351.90/x
  3. Step 3: Cross multiply
    65,972.40x = 98,772.30 × 51,351.90
  4. Step 4: Simplify right side
    65,972.40x = 5,072,145,272.37
  5. Step 5: Solve for x
    x = 5,072,145,272.37/65,972.40
  6. Step 6: Final answer
    x = 76,882.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.